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Finding the Third Proportional to 198.25 and 253.75

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Solution

The third proportional to 198.25 and 253.75 is: 324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.25 : 253.75 = 253.75 : x
  2. Step 2: Convert to fraction form
    198.25/253.75 = 253.75/x
  3. Step 3: Cross multiply
    198.25x = 253.75 × 253.75
  4. Step 4: Simplify right side
    198.25x = 64,389.06
  5. Step 5: Solve for x
    x = 64,389.06/198.25
  6. Step 6: Final answer
    x = 324.79

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.